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Finding the Third Proportional to 3,466.22 and 5,327.91

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Solution

The third proportional to 3,466.22 and 5,327.91 is: 8,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.22 : 5,327.91 = 5,327.91 : x
  2. Step 2: Convert to fraction form
    3,466.22/5,327.91 = 5,327.91/x
  3. Step 3: Cross multiply
    3,466.22x = 5,327.91 × 5,327.91
  4. Step 4: Simplify right side
    3,466.22x = 28,386,585.01
  5. Step 5: Solve for x
    x = 28,386,585.01/3,466.22
  6. Step 6: Final answer
    x = 8,189.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.